Question

Consider the equation 2x+5y=1Identify the slope and y intercept

Answer 1

Given the equation 2x+5y=1

We are required to Identify the slope and y intercept

The general equation of a straight line is in the form y = mx + c

Where m = slope and c= y-intercept

To solve the problem before us, we need to re-write 2x+5y=1 in the form y = mx + c

`\begin{gathered} 2x+5y=1 \\ 5y=-2x+1 \\ y=-(2)/(5)x+(1)/(5) \\ \\ Comparing\text{ the resulting equation with y=mx+c} \\ m=-(2)/(5),\text{ c=}(1)/(5) \end{gathered}`

Thus, the slope = -2/5 while the y-intercept is 1/5